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A club with 12 members is to choose three officers president vice-presidents and secretary-treasurer if each office is to be held by one person and no person can hold more than one office in how many ways can those offices be filled

Respuesta :

Answer:

12P3 = 1320

Step-by-step explanation:

How you need select three persons of a group of twelve persons, but in the selection each member of the group has a different position, then you need use a permutation

Permutation is defined how

[tex]nPr = \frac{n!}{(n-r)!}[/tex]

In our case n = 12 and r = 3

Thus

[tex]12P3 = \frac{12!}{(12-3)!}[/tex]

12P3 = 1320

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